114880880394 has 160 divisors (see below), whose sum is σ = 314928345600. Its totient is φ = 30568194720.

The previous prime is 114880880371. The next prime is 114880880407. The reversal of 114880880394 is 493088088411.

114880880394 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 114880880394.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1226029 + ... + 1316399.

It is an arithmetic number, because the mean of its divisors is an integer number (1968302160).

Almost surely, 2^114880880394 is an apocalyptic number.

114880880394 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114880880394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157464172800).

114880880394 is an abundant number, since it is smaller than the sum of its proper divisors (200047465206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114880880394 is a wasteful number, since it uses less digits than its factorization.

114880880394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90470 (or 90461 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 114880880394 in words is "one hundred fourteen billion, eight hundred eighty million, eight hundred eighty thousand, three hundred ninety-four".